Suppose you calculate a 95% and 90% confidence interval for the true proportion of college students with student loan using the same data set. Which of the following must be true? a) The 95% confidence interval is wider than the 90% confidence interval. b) The 95% confidence interval is the same length as the 90% confidence interval. c) The 95% confidence interval is narrower than the 90% confidence interval. d) There is no way to tell from the given information.

Suppose you calculate a 95% and 90% confidence interval for the true proportion of college students with student loan using the same data set. Which of the following must be true? a) The 95% confidence interval is wider than the 90% confidence interval. b) The 95% confidence interval is the same length as the 90% confidence interval. c) The 95% confidence interval is narrower than the 90% confidence interval. d) There is no way to tell from the given information.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 24PFA

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Question

Suppose you calculate a 95% and 90% confidence interval for the true proportion of college students with student loan using the same data set. Which of the following must be true?

a) The 95% confidence interval is wider than the 90% confidence interval.

b) The 95% confidence interval is the same length as the 90% confidence interval.

c) The 95% confidence interval is narrower than the 90% confidence interval.

d) There is no way to tell from the given information.

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